Basics of Finite Fields
There are three tasks in this experiment.
          
Procedure for Euclidean Division Algorithm:
- Using landscape mode is recommended on mobile phones and other smaller screens.
 - Polynomials can be entered in the fields provided. Use only lower case x in the field.
 - Expressions like x2 can be entered in the field by typing x^2 on the keyboard.
 - 1, x, +, x^2, x^3 and their combinations need to be entered in the fields in this task. Do not enter any other symbols.
 - Enter the values in all the fields of a row and click on Submit.
 - The correctness of the entered answer is displayed in Observations.
 - If the answer is correct, proceed to the next row. Values in the fields of a row cannot be entered without completing the previous row correctly.
 - Repeat this process until all the rows are filled and the algorithm is complete when a success message displaying the GCD appears in Observations.
 - Next - Displays the next example.
 - Previous - Displays the previous example.
 
Procedure for Elements of Finite Field:
- Typing alpha on the keyboard displays the symbol α.
 - Expressions like α2 can be entered in the field by typing alpha^2 on the keyboard.
 - Enter the values in the fields and click on Submit.
 - 0, 1, alpha, +, alpha^2, alpha^3 and their combinations need to be entered in the fields in this task. Do not enter any other symbols.
 - The correctness of the entered answer is displayed in Observations.
 - Next - Displays the next example.
 - Previous - Displays the previous example.
 
Procedure for Minimal Polynomial:
- Using landscape mode is recommended on mobile phones and other smaller screens.
 - First select element(s) of the finite field from the left column by clicking on it. The background color changes to red indicating that the element has been selected.
 - Then select the corresponding minimal polynomial from the right column by clicking on it.
 - If the correct polynomial is selected, the element(s) and minimal polynomial turn green indicating that it is a correct match. The correct answer message is displayed in Observations.
 - If the answer is wrong, the wrong answer message is displayed in Observations. Try again by selecting another minimal polynomial.
 - Repeat this procedure until all the elements are matched with the corresponding minimal polynomials.
 - Next - Displays the next example.
 - Previous - Displays the previous example.